Simplify frac 2 sqrt 2 sqrt 5 - SS3 Mathematics Surd Question
Simplify \(\frac{2}{\sqrt{2} + \sqrt{5}}\)
\[\frac{2}{\sqrt{2} + \sqrt{5}} = \frac{2}{\sqrt{2} + \sqrt{5}}.\frac{\sqrt{2} - \sqrt{5}}{\sqrt{2} - \sqrt{5}} = \frac{2(\sqrt{2} - \sqrt{5})}{2 - 5} = \frac{2(\sqrt{2} - \sqrt{5})}{- 3} = \frac{- 2(\sqrt{2} - \sqrt{5})}{3}\]
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